7670486903040 has 576 divisors, whose sum is σ = 29342791457280. Its totient is φ = 1886226186240.

The previous prime is 7670486902973. The next prime is 7670486903063. The reversal of 7670486903040 is 403096840767.

It is a happy number.

7670486903040 is a `hidden beast` number, since 7 + 6 + 7 + 0 + 486 + 90 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7670486903040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477576610 + ... + 477592670.

It is an arithmetic number, because the mean of its divisors is an integer number (50942346280).

Almost surely, 2^{7670486903040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7670486903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671395728640).

7670486903040 is an abundant number, since it is smaller than the sum of its proper divisors (21672304554240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7670486903040 is a wasteful number, since it uses less digits than its factorization.

7670486903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17167 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 7670486903040 in words is "seven trillion, six hundred seventy billion, four hundred eighty-six million, nine hundred three thousand, forty".